6. A new evaluation scheme is to be introduced to at a college. Usually for a statistics course at that college, the result is normally distributed with mean of 71 and a standard deviation of 8.5.

a)If top 2% of students will receive a scholarship of $1000, what is the minimum score required to receive this award? [2 marks]

Round your final answers to thenearest whole number.

b)The bottom 4% of the students would be considered fail in the course and must repeat the course. What is the minimum score required for a student to avoid repeating the course? Round your final answers to thenearest whole number.[2 marks]